def load_parameters(file_res, file_cov, process, constraints):
implementation_name = process + ' SSE'
res_dict = csv_to_dict(file_res)
cov_dict = csv_to_dict(file_cov)
keys_sorted = sorted(res_dict.keys())
res = [res_dict[k] for k in keys_sorted]
# M -> M + M^T - diag(M) since the dictionary contains only the entries above the diagonal
cov = (np.array([[cov_dict.get((k, m), 0) for m in keys_sorted]
for k in keys_sorted]) +
np.array([[cov_dict.get((m, k), 0) for m in keys_sorted]
for k in keys_sorted]) -
np.diag([cov_dict[(k, k)] for k in keys_sorted]))
parameter_names = [
implementation_name + ' ' + coeff_name for coeff_name in keys_sorted
]
for parameter_name in parameter_names:
try: # check if parameter object already exists
p = Parameter.get_instance(parameter_name)
except: # otherwise, create a new one
p = Parameter(parameter_name)
else: # if parameter exists, remove existing constraints
constraints.remove_constraints(parameter_name)
constraints.add_constraint(
parameter_names,
MultivariateNormalDistribution(central_value=res, covariance=cov))
def test_emcee_scan(self):
# dummy observables
o1 = Observable( 'test_obs 1' )
o2 = Observable( 'test_obs 2' )
# dummy predictions
def f1(wc_obj, par_dict):
return par_dict['m_b']
def f2(wc_obj, par_dict):
return 2.5
Prediction( 'test_obs 1', f1 )
Prediction( 'test_obs 2', f2 )
d1 = NormalDistribution(5, 0.2)
cov2 = [[0.1**2, 0.5*0.1*0.3], [0.5*0.1*0.3, 0.3**2]]
d2 = MultivariateNormalDistribution([6,2], cov2)
m1 = Measurement( 'measurement 1 of test_obs 1' )
m2 = Measurement( 'measurement 2 of test_obs 1 and test_obs 2' )
m1.add_constraint(['test_obs 1'], d1)
m2.add_constraint(['test_obs 1', 'test_obs 2'], d2)
fit = BayesianFit('fit_emcee_test', flavio.default_parameters, ['m_b', 'm_c'], [], ['test_obs 1', 'test_obs 2'])
scan = emceeScan(fit)
scan.run(3, burnin=0)
self.assertTupleEqual(scan.result.shape, (3 * scan.nwalkers, 2))
BayesianFit.del_instance('fit_emcee_test')
Observable.del_instance('test_obs 1')
Observable.del_instance('test_obs 2')
Measurement.del_instance('measurement 1 of test_obs 1')
Measurement.del_instance('measurement 2 of test_obs 1 and test_obs 2')
def load_parameters(filename, process, constraints):
implementation_name = process + ' BSZ'
parameter_names = [
implementation_name + ' ' + coeff_name for coeff_name in a_ff_string
]
# a0_A0 and a0_T2 are not treated as independent parameters!
parameter_names.remove(implementation_name + ' a0_A0')
parameter_names.remove(implementation_name + ' a0_T2')
for parameter_name in parameter_names:
try: # check if parameter object already exists
p = Parameter[parameter_name]
except: # otherwise, create a new one
p = Parameter(parameter_name)
# get LaTeX representation of coefficient and form factor names
_tex_a = tex_a[parameter_name.split(' ')[-1].split('_')[0]]
_tex_ff = tex_ff[parameter_name.split(' ')[-1].split('_')[-1]]
p.tex = r'$' + _tex_a + r'^{' + _tex_ff + r'}$'
p.description = r'BSZ form factor parametrization coefficient $' + _tex_a + r'$ of $' + _tex_ff + r'$'
else: # if parameter exists, remove existing constraints
constraints.remove_constraint(parameter_name)
[central, unc, corr] = get_ffpar(filename)
constraints.add_constraint(
parameter_names,
MultivariateNormalDistribution(central_value=central,
covariance=np.outer(unc, unc) * corr))
def make_measurement(self, N=100, Nexp=5000, threads=1, force=False):
"""Initialize the fit by producing a pseudo-measurement containing both
experimental uncertainties as well as theory uncertainties stemming
from nuisance parameters.
Optional parameters:
- `N`: number of random computations for the SM covariance (computing
time is proportional to it; more means less random fluctuations.)
- `Nexp`: number of random computations for the experimental covariance.
This is much less expensive than the theory covariance, so a large
number can be afforded (default: 5000).
- `threads`: number of parallel threads for the SM
covariance computation. Defaults to 1 (no parallelization).
- `force`: if True, will recompute SM covariance even if it
already has been computed. Defaults to False.
"""
central_exp, cov_exp = self._get_central_covariance_experiment(Nexp)
cov_sm = self.get_sm_covariance(N, force=force, threads=threads)
covariance = cov_exp + cov_sm
# add the Pseudo-measurement
m = flavio.classes.Measurement(
'Pseudo-measurement for FastFit instance: ' + self.name)
if np.asarray(central_exp).ndim == 0 or len(
central_exp) <= 1: # for a 1D (or 0D) array
m.add_constraint(
self.observables,
NormalDistribution(central_exp, np.sqrt(covariance)))
else:
m.add_constraint(
self.observables,
MultivariateNormalDistribution(central_exp, covariance))
def np_measurement(name, w, observables, covariance):
"""Measurement instance of `observables` measured with `covariance`
assuming the central values to be equal to the NP predictions given
the `Wilson` instance `w`."""
def predict(obs):
d = Observable.argument_format(obs, 'dict')
return flavio.np_prediction(d.pop('name'), w, **d)
cv = [predict(obs) for obs in observables]
d = MultivariateNormalDistribution(cv, covariance=covariance)
m = Measurement(name)
m.add_constraint(observables, d)
return m
def test_exp_combo(self):
o = Observable('test_obs')
o.arguments = ['x']
m = Measurement('test_obs measurement 1')
m.add_constraint([('test_obs', 1)], MultivariateNormalDistribution([1, 2], np.eye(2)))
# error: no measurement
with self.assertRaises(ValueError):
flavio.combine_measurements('test_obs', x=1, include_measurements=['bla'])
m.add_constraint([('test_obs', 1)], NormalDistribution(2, 3))
combo = flavio.combine_measurements('test_obs', x=1)
self.assertEqual(combo.central_value, 2)
self.assertEqual(combo.standard_deviation, 3)
m2 = Measurement('test_obs measurement 2')
m2.add_constraint([('test_obs', 1)], NormalDistribution(3, 3))
combo = flavio.combine_measurements('test_obs', x=1)
self.assertAlmostEqual(combo.central_value, 2.5)
self.assertAlmostEqual(combo.standard_deviation, sqrt(9 / 2))
Observable.del_instance('test_obs')
def load_parameters(filename, constraints):
f = pkgutil.get_data('flavio.physics', filename)
ff_dict = yaml.load(f)
for parameter_name in ff_dict['parameters']:
try: # check if parameter object already exists
p = Parameter[parameter_name]
except: # otherwise, create a new one
p = Parameter(parameter_name)
else: # if parameter exists, remove existing constraints
constraints.remove_constraint(parameter_name)
covariance = np.outer(ff_dict['uncertainties'],
ff_dict['uncertainties']) * ff_dict['correlation']
if not np.allclose(covariance, covariance.T):
# if the covariance is not symmetric, it is assumed that only the values above the diagonal are present.
# then: M -> M + M^T - diag(M)
covariance = covariance + covariance.T - np.diag(np.diag(covariance))
constraints.add_constraint(
ff_dict['parameters'],
MultivariateNormalDistribution(central_value=ff_dict['central_values'],
covariance=covariance))
def load_parameters(file_res, file_cov, process, constraints):
implementation_name = process + ' SSE'
res_dict = csv_to_dict(file_res)
cov_dict = csv_to_dict(file_cov)
keys_sorted = sorted(res_dict.keys())
res = [res_dict[k] for k in keys_sorted]
cov = np.array([[ cov_dict.get((k,m),0) for m in keys_sorted] for k in keys_sorted])
parameter_names = [implementation_name + ' ' + translate_parameters(coeff_name) for coeff_name in keys_sorted]
for parameter_name in parameter_names:
try: # check if parameter object already exists
p = Parameter[parameter_name]
except: # otherwise, create a new one
p = Parameter(parameter_name)
_tex_a = tex_a[parameter_name.split(' ')[-1].split('_')[0]]
_tex_ff = tex_ff[parameter_name.split(' ')[-1].split('_')[-1]]
p.tex = r'$' + _tex_a + r'^{' + _tex_ff + r'}$'
p.description = r'SSE form factor parametrization coefficient $' + _tex_a + r'$ of $' + _tex_ff + r'$'
else: # if parameter exists, remove existing constraints
constraints.remove_constraint(parameter_name)
constraints.add_constraint(parameter_names,
MultivariateNormalDistribution(central_value=res, covariance=cov ))
